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Finding the Fourth Proportional to 203,543.69, 280,706.45 and 127,069.86

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Solution

The fourth proportional to 203,543.69, 280,706.45 and 127,069.86 is: 175,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,543.69 : 280,706.45 = 127,069.86 : x
  2. Step 2: Convert to fraction form
    203,543.69/280,706.45 = 127,069.86/x
  3. Step 3: Cross multiply
    203,543.69x = 280,706.45 × 127,069.86
  4. Step 4: Simplify right side
    203,543.69x = 35,669,329,719.90
  5. Step 5: Solve for x
    x = 35,669,329,719.90/203,543.69
  6. Step 6: Final answer
    x = 175,241.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.